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3 years ago

Which of the following is an equation of the line through (2, 3) and (−1, −12)?

Mathematics

1 answer:

sleet_krkn [62]3 years ago

6 0

Answer:

y = 5x-7

Step-by-step explanation:

y-y/x-x = slope

-12-3/-1-2 = -15/-3 = 5

next plug in slope and coordinates

y=mx+b

3=5(2)+b

solve for b

3=10+b

-7=b

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Suppose the following data show the introductory interest rates on a sample of 5 credit cards: 5.3, 2.3, 2.9, 4.3, 3.8. Calculat

evablogger [386]

Answer: 1.18

Step-by-step explanation:

Let m be mean

Mean= sum/ n

Mean= (5.3+2.3+2.9+4.3+3.8 ) / 5

m= 18.6 / 5

M= 3.72

Mean= 3.72

Standard deviation sample formula is:

S.D= sqrt((|x-m|^2) / n-1)

So let start with |x-m|^2

For 1st: |5.3-3.72|^2=2.4964

For 2nd: |2.3-3.72|^2=2.0164

For 3rd: |2.9-3.72|^2=0.6724

For 4th: |4.3-3.72|^2=0.3364

For 5th: |3.8-3.72|^2=0.0064

Summation of |x-m|^2 = 5.528

Standard deviation sample formula is:

S.D = sqrt((summation of |x-m|^2) / n-1)

S.D=sqrt(5.528 / 4)

S.D=sqrt(1.382)

S.D=1.176

S.D=1.18 to 2 decimal place

8 0

3 years ago

Write the sentence as an inequality.<br> 10 times a number x plus 6 is no less than 42.

Elanso [62]

Answer:

10x + 6 ≥ 42

Step-by-step explanation:

7 0

4 years ago

The probability that a lab specimen contains high levels of contamination is 0.10. Five samples are checked, and the samples are

raketka [301]

Answer:

(a) 0.59049 (b) 0.32805 (c) 0.40951

Step-by-step explanation:

Let's define

$A_{i}$ : the lab specimen number i contains high levels of contamination for i = 1, 2, 3, 4, 5, so,

$P(A_{i})=0.1$ for i = 1, 2, 3, 4, 5

The complement for $A_{i}$ is given by

$A_{i}^{$c$}$ : the lab specimen number i does not contains high levels of contamination for i = 1, 2, 3, 4, 5, so

P( $A_{i}^{$c$}$ )=0.9 for i = 1, 2, 3, 4, 5

(a) The probability that none contain high levels of contamination is given by

P( $A_{1}^{$c$}$ ∩ $A_{2}^{$c$}$ ∩ $A_{3}^{$c$}$ ∩ $A_{4}^{$c$}$ ∩ $A_{5}^{$c$}$ )= $(0.9)^{5}$ =0.59049 because we have independent events.

(b) The probability that exactly one contains high levels of contamination is given by

P( $A_{1}$ ∩ $A_{2}^{$c$}$ ∩ $A_{3}^{$c$}$ ∩ $A_{4}^{$c$}$ ∩ $A_{5}^{$c$}$ )+P( $A_{1}^{$c$}$ ∩ $A_{2}$ ∩ $A_{3}^{$c$}$ ∩ $A_{4}^{$c$}$ ∩ $A_{5}^{$c$}$ )+P( $A_{1}^{$c$}$ ∩ $A_{2}^{$c$}$ ∩ $A_{3}$ ∩ $A_{4}^{$c$}$ ∩ $A_{5}^{$c$}$ )+P( $A_{1}^{$c$}$ ∩ $A_{2}^{$c$}$ ∩ $A_{3}^{$c$}$ ∩ $A_{4}$ ∩ $A_{5}^{$c$}$ )+P( $A_{1}^{$c$}$ ∩ $A_{2}^{$c$}$ ∩ $A_{3}^{$c$}$ ∩ $A_{4}^{$c$}$ ∩ $A_{5}$ )=5×(0.1)× $(0.9)^{4}$ =0.32805

because we have independent events.

P( $A_{1}$ ∪ $A_{2}$ ∪ $A_{3}$ ∪ $A_{4}$ ∪ $A_{5}$ )=1-P( $A_{1}^{$c$}$ ∩ $A_{2}^{$c$}$ ∩ $A_{3}^{$c$}$ ∩ $A_{4}^{$c$}$ ∩ $A_{5}^{$c$}$ )=1-0.59049=0.40951

6 0

3 years ago

Will a 9m long planks fit into a square room of side 7m? please I really needed help with this one

Darya [45]

No because if it is a square all the sides are 7m long so a 9m plank will not fit. Hope this helps.

5 0

3 years ago

HELP NEED QUICKLY ILL GIVE A BRAINLIEST!!!

Alina [70]

The x intercept is -12 and it represents the amount of money she started with.
the y intercept is +3 and it represents the amount of money she has now.
the slope is positive and it represents the amount of money shell get in the future

6 0

4 years ago

Read 2 more answers